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Finding the Fourth Proportional to 324,114.80, 486,026.40 and 146,530.40

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Solution

The fourth proportional to 324,114.80, 486,026.40 and 146,530.40 is: 219,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,114.80 : 486,026.40 = 146,530.40 : x
  2. Step 2: Convert to fraction form
    324,114.80/486,026.40 = 146,530.40/x
  3. Step 3: Cross multiply
    324,114.80x = 486,026.40 × 146,530.40
  4. Step 4: Simplify right side
    324,114.80x = 71,217,642,802.56
  5. Step 5: Solve for x
    x = 71,217,642,802.56/324,114.80
  6. Step 6: Final answer
    x = 219,729.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.